λ
Sequence Observatory

5,289,101

5289101
Deficient Odd Prime

Starting at 5,289,101, the Collatz iteration reaches 1 after 219 steps. The first transition is 15867304; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 5289101
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,289,102
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5289083 ← → #5289121

Radix Representation

Decimal 5289101
Binary 10100001011010010001101 (23 bits)
Octal 0o24132215
Hexadecimal 0x50B48D

Divisor Catalog (2)

1 5,289,101

Collatz Trajectory (219 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,289,101 15,867,304 7,933,652 3,966,826 1,983,413 5,950,240 2,975,120 1,487,560 743,780 371,890 185,945 557,836 278,918 139,459 418,378 209,189 627,568 313,784 156,892 78,446 39,223 117,670 58,835 176,506 88,253 264,760 132,380 66,190 33,095 99,286 49,643 148,930 74,465 223,396 111,698 55,849 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292

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